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#############################################################################
##
## attributes/inverse.gd
## Copyright (C) 2013-2022 James D. Mitchell
## Wilf A. Wilson
## Rhiannon Dougall
## Robert Hancock
##
## Licensing information can be found in the README file of this package.
##
#############################################################################
##
DeclareAttribute("CharacterTableOfInverseSemigroup",
IsInverseSemigroup and IsPartialPermSemigroup
and IsActingSemigroup);
DeclareOperation("IsJoinIrreducible",
[IsInverseSemigroup, IsMultiplicativeElement]);
DeclareAttribute("JoinIrreducibleDClasses", IsInverseSemigroup);
DeclareOperation("IsMajorantlyClosed",
[IsInverseSemigroup and IsGeneratorsOfInverseSemigroup,
IsMultiplicativeElementCollection]);
DeclareOperation("IsMajorantlyClosedNC",
[IsInverseSemigroup and IsGeneratorsOfInverseSemigroup,
IsMultiplicativeElementCollection]);
DeclareOperation("MajorantClosure", [IsInverseSemigroup, IsCollection]);
DeclareOperation("MajorantClosureNC",
[IsInverseSemigroup, IsMultiplicativeElementCollection]);
DeclareOperation("Minorants", [IsInverseSemigroup, IsMultiplicativeElement]);
DeclareAttribute("SameMinorantsSubgroup", IsGroupHClass);
DeclareOperation("RightCosetsOfInverseSemigroup",
[IsInverseSemigroup and IsGeneratorsOfInverseSemigroup,
IsInverseSemigroup and IsGeneratorsOfInverseSemigroup]);
DeclareAttribute("PrimitiveIdempotents", IsSemigroup);
DeclareGlobalFunction("SupremumIdempotentsNC");
DeclareAttribute("VagnerPrestonRepresentation",
IsInverseSemigroup and IsGeneratorsOfInverseSemigroup);
DeclareAttribute("NaturalLeqInverseSemigroup", IsSemigroup);
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